{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-02-15T07:44:59.247329Z",
     "start_time": "2025-02-15T07:44:50.973774Z"
    }
   },
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import d2l\n",
    "import torch\n",
    "import random"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:44:59.405369Z",
     "start_time": "2025-02-15T07:44:59.249330Z"
    }
   },
   "cell_type": "code",
   "source": [
    "true_w = torch.tensor([2, -3.4])\n",
    "true_b = 4.2\n",
    "features, labels = d2l.synthetic_data(true_w, true_b, 1000)"
   ],
   "id": "5935f02d09366462",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:44:59.611823Z",
     "start_time": "2025-02-15T07:44:59.407369Z"
    }
   },
   "cell_type": "code",
   "source": "print('features:', features[0],'\\nlabel:', labels[0])",
   "id": "3130924a78b90aab",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "features: tensor([-0.1535,  0.8096]) \n",
      "label: tensor([1.1422])\n"
     ]
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:45:00.040434Z",
     "start_time": "2025-02-15T07:44:59.613821Z"
    }
   },
   "cell_type": "code",
   "source": [
    "d2l.set_figsize()\n",
    "d2l.plt.scatter(features[:, 1].detach().numpy(), labels.detach().numpy(), 1);"
   ],
   "id": "67630ca264c8fb4f",
   "outputs": [
    {
     "data": {
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   "metadata": {},
   "cell_type": "markdown",
   "source": "# 3.2.2. 读取数据集",
   "id": "f1f9ed940faaf470"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:45:00.149193Z",
     "start_time": "2025-02-15T07:45:00.043393Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def data_iter(batch_size, features, labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    # 这些样本是随机读取的，没有特定的顺序\n",
    "    random.shuffle(indices)\n",
    "    for i in range(0, num_examples, batch_size):\n",
    "        batch_indices = torch.tensor(\n",
    "            indices[i: min(i + batch_size, num_examples)])\n",
    "        yield features[batch_indices], labels[batch_indices]"
   ],
   "id": "27f603601700e4ca",
   "outputs": [],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:45:00.272141Z",
     "start_time": "2025-02-15T07:45:00.151291Z"
    }
   },
   "cell_type": "code",
   "source": [
    "w = torch.normal(0, 0.01, size=(2,1), requires_grad=True)\n",
    "b = torch.zeros(1, requires_grad=True)"
   ],
   "id": "44d533f900007b3a",
   "outputs": [],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:45:00.398693Z",
     "start_time": "2025-02-15T07:45:00.274141Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def linreg(X, w, b):\n",
    "    \"\"\"线性回归模型\"\"\"\n",
    "    return torch.matmul(X, w) + b"
   ],
   "id": "86f5f9af0315bb89",
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:45:00.813017Z",
     "start_time": "2025-02-15T07:45:00.400651Z"
    }
   },
   "cell_type": "code",
   "source": [
    "lr = 0.03\n",
    "num_epochs = 3\n",
    "batch_size = 10\n",
    "net = linreg\n",
    "loss = d2l.squared_loss\n",
    "\n",
    "for epoch in range(num_epochs):\n",
    "    for X, y in data_iter(batch_size, features, labels):\n",
    "        l = loss(net(X, w, b), y)  # X和y的小批量损失\n",
    "        # 因为l形状是(batch_size,1)，而不是一个标量。l中的所有元素被加到一起，\n",
    "        # 并以此计算关于[w,b]的梯度\n",
    "        l.sum().backward()\n",
    "        d2l.sgd([w, b], lr, batch_size)  # 使用参数的梯度更新参数\n",
    "    with torch.no_grad():\n",
    "        train_l = loss(net(features, w, b), labels)\n",
    "        print(f'epoch {epoch + 1}, loss {float(train_l.mean()):f}')"
   ],
   "id": "81cfb24ba040fc44",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1, loss 0.049550\n",
      "epoch 2, loss 0.000201\n",
      "epoch 3, loss 0.000049\n"
     ]
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-15T07:53:35.985550Z",
     "start_time": "2025-02-15T07:53:35.852623Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print(f'w的估计误差: {true_w - w.reshape(true_w.shape)}')\n",
    "print(f'b的估计误差: {true_b - b}')"
   ],
   "id": "d9f6175d623cb2a4",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的估计误差: tensor([ 0.0005, -0.0008], grad_fn=<SubBackward0>)\n",
      "b的估计误差: tensor([0.0004], grad_fn=<RsubBackward1>)\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "19e9ec40fb4e8f23"
  }
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